Question: For n = 0 , 1 , 2 , dots, and x real, prove that | s i n n x | n | s

For n=0,1,2,dots, and x real, prove that
|sinnx|n|sinx|
Note that this inequality may be false for other values of n. For instance,
|sintm|>t|sin|=1.
For n = 0 , 1 , 2 , dots, and x real, prove that

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

17. Let Y be a random number from (0, 1). Let X be the second digit of Y . Prove that for n = 0, 1, 2, . . . , 9, P (X = n)increases as n increases. This is remarkable because it shows that P (X =...

Q:

Using the results given in Table 2.1 for the Fourier coefficients of a pulse train, plot the double-sided amplitude and phase spectra for the wave forms shown in Figure 2.34. (Note that x b (t) = -x...

Q:

Three-dimensional (3D) isotropic harmonic oscillator. Consider the Hamiltonian of a 3D harmonic oscillator: 4 = p 1 2m+mwx, (1) with p and the 3D momentum and position operators respectively, m the...

Q:

Consider a constant random process, X (t) = A, where A is a random variable. Use Definition A discrete random process, X[n], is generated by repeated tosses of a coin. Let the occurrence of a head be...

Q:

Suppose x) = V 1 + a; (a) Find the Taylor polynomials, 113(3), of order n = 0, 1, 2, 3 of x) with center 0. (b) Use T 0(3), T 1(35'), T203), T3 (3;) to approximate the value of V 1.2

Q:

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

Q:

MATLAB URGENT HELP NEEDED DUE IN 1 HOUR PLEASE HELP POSTING TWICE NOW Task 1 (of 2) In physics and mathematics, the Ikeda map is a discrete-time dynamical system first proposed by Kensuke Ikeda as a...

Q:

Can I get the solution for these Atomic & Quantum Mechanics Physics problems? Textbook: Introduction to Quantum Mechanics, 2nd edition, by David J. Griffiths (Pearson Prentice Hall, Upper Saddle...

Q:

Hello I need help with this part of the assignment , thank you Problem(7) (3 points) Derive the solution(s) to the equation ar2 4 br + c = 0, a # 0 is that (the quadratic formula) r = =byblac 2a...

Q:

A particular insurance company has requested its actuarial group to study the number of claims on its compulsory third party insurance (CTP). In particular, it is the company's interest to study the...

Q:

What aspect of the blackbody spectrum forced Planck to propose quantization of energy levels in its atoms and molecules?

Q:

Constants Mass of electron me = 9.11 x 10-31 kg Electron charge e = -1.602 x 10-19 C Coulomb constant ke 8.988 x 10 J-m-C-2 Vacuum permittivity co= 8.854 x 10-12 J-.m-.C Planck constant h = 6.626 x...

Q:

Se compone de normas y protocolos internacionales con los cuales deben cumplir los productos y servicios de cualquier ndole para su distribucin y consumo por parte del cliente

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...